Abstract
Large-scale vertical well fracturing leads to formation of multi-wing fractures, which can effectively reduce fluid seepage resistance and increase single well production. As one of the post-fracture evaluation methods, pressure transient analysis is used widely in oil/gas field evaluation by engineers. It is of great significance for petroleum engineers to choose the correct and appropriate well test model for the accurate evaluation of formation parameters. Since oil/gas outer boundary is often rectangle or arbitrarily shape, a semi-analytical model of multi-wing fractured well (MWFW) with arbitrarily shaped outer boundary gas reservoirs is presented. The reservoirs and hydraulic fracture mathematical models are established and solved. Coupling reservoirs and hydraulic fracture solution, and then discreting hydraulic fracture and outer boundary. The wellbore pressure solution with arbitrarily shaped outer boundary is obtained by pressure drop superposition, boundary element method (BEM) and Stehfest numerical inversion method. The bi-wing symmetrical hydraulic fracture and MWFW with finite conductivity are verified respectively by using numerical solution and comparison results reaches a good match, which certifies the correctness of the model and solving method. Typical curves of wellbore pressure and rate decline are discussed and influence of conductivity, hydraulic fracture number and hydraulic fracture distribution style et al. on wellbore pressure and rate decline is analyzes by combining with rate distribution of different time and segment. Influence of other parameters (Storativity ratio, interporosity coefficient and boundary shape size) on wellbore pressure and rate decline is also discussed in the end of paper.
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